# Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems

Abdelmalek Aboussoror; Abdelatif Mansouri

RAIRO - Operations Research (2008)

- Volume: 42, Issue: 2, page 87-103
- ISSN: 0399-0559

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topAboussoror, Abdelmalek, and Mansouri, Abdelatif. "Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems." RAIRO - Operations Research 42.2 (2008): 87-103. <http://eudml.org/doc/250401>.

@article{Aboussoror2008,

abstract = {
In this paper, which is an extension of [4],
we first show the existence of solutions to
a class of Min Sup problems with
linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel
problems. Furthermore, for such a class of bilevel problems, we
give a relationship with appropriate d.c. problems concerning the
existence of solutions.
},

author = {Aboussoror, Abdelmalek, Mansouri, Abdelatif},

journal = {RAIRO - Operations Research},

keywords = {Min Sup problems; variational
convergence; bilevel programming; d.c. programming.; min-sup problems; variational convergence; d.c. programming},

language = {eng},

month = {5},

number = {2},

pages = {87-103},

publisher = {EDP Sciences},

title = {Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems},

url = {http://eudml.org/doc/250401},

volume = {42},

year = {2008},

}

TY - JOUR

AU - Aboussoror, Abdelmalek

AU - Mansouri, Abdelatif

TI - Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems

JO - RAIRO - Operations Research

DA - 2008/5//

PB - EDP Sciences

VL - 42

IS - 2

SP - 87

EP - 103

AB -
In this paper, which is an extension of [4],
we first show the existence of solutions to
a class of Min Sup problems with
linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel
problems. Furthermore, for such a class of bilevel problems, we
give a relationship with appropriate d.c. problems concerning the
existence of solutions.

LA - eng

KW - Min Sup problems; variational
convergence; bilevel programming; d.c. programming.; min-sup problems; variational convergence; d.c. programming

UR - http://eudml.org/doc/250401

ER -

## References

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